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In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
FrontMatter, pg. i
Contents, pg. ix
Preface to the Paperback Edition, pg. xiii
Preface, pg. xxix
Introduction, pg. 1
Chapter 1. Complex Numbers, pg. 13
Chapter 2. Vector Trips, pg. 68
Chapter 3. The Irrationality of ð2, pg. 92
Chapter 4. Fourier Series, pg. 114
Chapter 5. Fourier Integrals, pg. 188
Chapter 6. Electronics and ? ?1, pg. 275
Euler: The Man and the Mathematical Physicist, pg. 324
Notes, pg. 347
Acknowledgments, pg. 375
Index, pg. 377
Description
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.